Determine the type of boundary line and shading for the graph of the inequality −4x − y < −6
answers:
Dashed line with shading on the side that includes the origin.
Solid line with shading on the side that does not include the origin.
Dashed line with shading on the side that does not include the origin.
Solid line with shading on the side that includes the origin.

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Determine the type of boundary line and shading for the graph of the inequality −4x − y < −6
answers:
Dashed line with shading on the side that includes the origin.
Solid line with shading on the side that does not include the origin.
Dashed line with shading on the side that does not include the origin.
Solid line with shading on the side that includes the origin.

Mathematics

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anonymous

4 years ago

For this one, you need to write it in terms of y, so we solve for y:
\[y > -4x + 6\]
then we check to see if we she above the line or below it. Use a point for a test, ill use (0,0) again.
Is
0> -4(0) + 6 ?
false
so we shade on the side not including the origin

Nurali

4 years ago

i think Dashed line with shading on the side that includes the origin.